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All the ideas for 'Logical Consequence', 'Properties' and 'Ontology and the Ambitions of Metaphysics'

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57 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is (supposedly) first the ontology, then in general what things are like [Hofweber]
     Full Idea: Metaphysics can be divided into two parts: first ontology, which is supposed to tell us what there is in general. The second part is the rest of metaphysics, which is supposed to tell us what these things are like, in various general ways.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 01.1)
     A reaction: Hofweber is a fairly sceptical guide to metaphysics, but this has been the standard view for the last decade. Before that, Quine had set an agenda of mere ontology.
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
'Fundamentality' is either a superficial idea, or much too obscure [Hofweber]
     Full Idea: The dilemma of neo-Aristotelian metaphysics is that on an ordinary reading of prioriy, 'fundamentality' won't give the intended results, and on a metaphysical reading it turns into esoteric metaphysics.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 13.4.2)
     A reaction: Hofweber is hostile to 'esoteric' metaphysics, but sympathetic to 'egalitarian' metaphysics, which anyone can understand (with a bit of effort).
3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It's true that Fido is a dog' conjures up a contrast class, of 'it's false' or 'it's unlikely' [Hofweber]
     Full Idea: 'It's true that Fido is a dog' gives rise to a contrastive focus on 'true', with the contrast class probably depending on members like 'it's false that...' or 'it's unlikely that...'.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 02.6.3)
     A reaction: If we introduce (from linguistics) the idea of a 'contrast class', then Ramsey's famous example begins to sound meaningful. It might occur in a discussion of 'did Antony actually say 'Friends, Romans. countrymen'?'
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
     Full Idea: 'Equivocation' is when the terms do not mean the same thing in the premises and in the conclusion.
     From: JC Beall / G Restall (Logical Consequence [2005], Intro)
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
In the iterative conception of sets, they form a natural hierarchy [Swoyer]
     Full Idea: In the iterative conception of sets, they form a natural hierarchy.
     From: Chris Swoyer (Properties [2000], 4.1)
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
     Full Idea: Logic is purely formal either when it is invariant under permutation of object (Tarski), or when it has totally abstracted away from all contents, or it is the constitutive norms for thought.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: [compressed] The third account sounds rather woolly, and the second one sounds like a tricky operation, but the first one sounds clear and decisive, so I vote for Tarski.
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Since properties can have properties, some theorists rank them in 'types' [Hofweber]
     Full Idea: Since properties themselves can have properties there is a well-known division in the theory of properties between those who take a typed and those who take a type-free approach.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 08.5)
     A reaction: I take this idea to be about linguistic predicates, and about semantics which draws on model theory. To see it as about actual 'properties' in the physical world makes no sense.
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
     Full Idea: Technical work on logical consequence has either focused on proofs, where validity is the existence of a proof of the conclusions from the premises, or on models, which focus on the absence of counterexamples.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
     Full Idea: Two different views of logical consequence are necessary truth-preservation (based on modelling possible worlds; favoured by Realists), or truth-preservation based on the meanings of the logical vocabulary (differing in various models; for Anti-Realists).
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
     A reaction: Thus Dummett prefers the second view, because the law of excluded middle is optional. My instincts are with the first one.
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
     Full Idea: A logical step is a 'material consequence' and not a formal one, if we need the contents as well as the structure or form.
     From: JC Beall / G Restall (Logical Consequence [2005], 2)
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical Form explains differing logical behaviour of similar sentences [Swoyer]
     Full Idea: 'Logical Form' is a technical notion motivated by the observation that sentences with a similar surface structure may exhibit quite different logical behaviour.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: [Swoyer goes on to give some nice examples] The tricky question is whether each sentence has ONE logical form. Pragmatics warns us of the dangers. One needs to check numerous inferences from a given sentences, not just one.
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Maybe not even names are referential, but are just by used by speakers to refer [Hofweber]
     Full Idea: A more radical alternative which takes names not to be referring even in the broader sense, but only takes speakers to refer with uses of names.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 08.1)
     A reaction: Given that you can make up nicknames and silly nonce names for people, this seems plausible. I may say a name in a crowded room and three people look up.
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
'Singular terms' are not found in modern linguistics, and are not the same as noun phrases [Hofweber]
     Full Idea: Being a 'singular term' is not a category in contemporary syntactic theory and it doesn't correspond to any of the notions employed there like that of a singular noun phrase or the like.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 02.3)
     A reaction: Hofweber has researched such things. This is an important objection to the reliance of modern Fregeans on the ontological commitments of singular terms (as proof that there are 'mathematical objects').
If two processes are said to be identical, that doesn't make their terms refer to entities [Hofweber]
     Full Idea: Identity between objects occurs in 'How Mary makes a chocolate cake is identical to how my grandfather used to make it', but does this show that 'how Mary makes a chocolate cake' aims to pick out an entity?
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 02.3)
     A reaction: This is a counterexample to the Fregean thought that the criterion for the existence of the referent of a singular term is its capacity to participate in an identity relation. Defenders of the Fregean view are aware of such examples.
5. Theory of Logic / G. Quantification / 1. Quantification
The inferential quantifier focuses on truth; the domain quantifier focuses on reality [Hofweber]
     Full Idea: When we ask 'is there a number?' in its inferential role (or internalist) reading, then we ask whether or not there is a true instance of 't is a number'. When we ask in its domain conditions (externalist) reading, we ask if the world contains a number.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 03.6)
     A reaction: Hofweber's key distinction. The distinction between making truth prior and making reference prior is intriguing and important. The internalist version is close to substitutional quantification. Only the externalist view needs robust reference.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
     Full Idea: If a conclusion follows from an empty collection of premises, it is true by logic alone, and is a 'logical truth' (sometimes a 'tautology'), or, in the proof-centred approach, 'theorems'.
     From: JC Beall / G Restall (Logical Consequence [2005], 4)
     A reaction: These truths are written as following from the empty set Φ. They are just implications derived from the axioms and the rules.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
     Full Idea: Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are used as singular terms, as adjectives, and as symbols [Hofweber]
     Full Idea: Number words have a singular term use, and adjectival (or determiner) use, and the symbolic use. The main question is how they relate to each other.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 05.1)
     A reaction: Thus 'the number four is even', 'there are four moons', and '4 comes after 3'.
The Amazonian Piraha language is said to have no number words [Hofweber]
     Full Idea: The now famous Piraha language, of the Amazon region in Brazil, allegedly has no number words.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 05.6)
     A reaction: Two groups can be shown to be of equal cardinality, by one-to-one matching rather than by counting. They could get by using 'equals' (and maybe unequally bigger and unequally smaller), and intuitive feelings for sizes of groups.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
The fundamental theorem of arithmetic is that all numbers are composed uniquely of primes [Hofweber]
     Full Idea: The prime numbers are more fundamental than the even numbers, and than the composite non-prime numbers. The result that all numbers uniquely decompose into a product of prime numbers is called the 'Fundamental Theorem of Arithmetic'.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 13.4.2)
     A reaction: I could have used this example in my thesis, which defended the view that essences are the fundamentals of explanation, even in abstract theoretical realms.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
How can words be used for counting if they are objects? [Hofweber]
     Full Idea: Number words as singular terms seem to refer to objects; numbers words in determiner or adjectival position are tied to counting. How these objects are related to counting is what the application problem is about.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 06.1.3)
     A reaction: You can't use stones for counting, so there must be more to numbers than the announcement that they are 'objects'. They seem to have internal relations, which makes them unusual objects.
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
     Full Idea: There are many proof-systems, the main being Hilbert proofs (with simple rules and complex axioms), or natural deduction systems (with few axioms and many rules, and the rules constitute the meaning of the connectives).
     From: JC Beall / G Restall (Logical Consequence [2005], 3)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism makes sense of our ability to know arithmetic just by thought [Hofweber]
     Full Idea: Frege's tying the objectivity of arithmetic to the objectivity of logic makes sense of the fact that can find out about arithmetic by thinking alone.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 06.1.1)
     A reaction: This assumes that logic is entirely a priori. We might compare the geometry of land surfaces with 'pure' geometry. If numbers are independent objects, it is unclear how we could have any a priori knowledge of them.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Neo-Fregeans are dazzled by a technical result, and ignore practicalities [Hofweber]
     Full Idea: A major flaw of the neo-Fregean program is that it is more impressed by the technical result that Peano Arithmetic can be interpreted by second-order logic plus Hume's Principle, than empirical considerations about how numbers come about.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 06.1.3)
     A reaction: This doesn't sound like a problem that would bother Fregeans or neo-Fregeans much. Deriving the Peano Axioms from various beginnings has become a parlour game for modern philosophers of mathematics.
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is nowadays seen as between properties, rather than linguistic [Swoyer]
     Full Idea: Supervenience is sometimes taken to be a relationship between two fragments of language, but it is increasingly taken to be a relationship between pairs of families of properties.
     From: Chris Swoyer (Properties [2000], 7.17)
     A reaction: If supervenience is a feature of the world, rather than of our descriptions, then it cries out for explanation, just as any other regularities do. Personally I would have thought the best explanation of the supervenience of mind and body was obvious.
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience offers little explanation for things which necessarily go together [Hofweber]
     Full Idea: The results from the use of supervenience in philosophical theorising are limited. In particular, modal notions can't distinguish between things which necessarily go together. For example, that truths about numbers are grounded in truths about sets.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 13.4.1)
     A reaction: [compressed]
7. Existence / D. Theories of Reality / 3. Reality
Reality can be seen as the totality of facts, or as the totality of things [Hofweber]
     Full Idea: Reality can be seen as everything that is the case - the totality of all facts that obtain - or reality can be seen as everything there is - the totality of all things that exist.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 10)
     A reaction: Things are a lot easier to specify than facts, but on the whole I prefer facts, just in order to affirm that there is more to reality than the mere 'things' that compose it. Our ontology must capture the dynamic and relational character of reality.
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists can't explain different methods to measure distance [Swoyer]
     Full Idea: Anti-realists theories of measurement (like operationalism) cannot explain how we can use different methods to measure the same thing (e.g. lengths and distances in cosmology, geology, histology and atomic physics).
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: Swoyer says that the explanation is that measurement aims at objective properties, the same in each of these areas. Quite good.
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
There are probably ineffable facts, systematically hidden from us [Hofweber]
     Full Idea: We do have reason to think that there are ineffable facts, and that these facts are systematically hidden from us.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 10.2.4)
     A reaction: [Hofweber's Ch.10 is a lengthy and interesting discussion of ineffable facts] Things which are very very small, or very very remote in space seem obvious candidates. The most obvious candidates are tiny detail about the remote past.
8. Modes of Existence / B. Properties / 1. Nature of Properties
Can properties have parts? [Swoyer]
     Full Idea: Can properties have parts?
     From: Chris Swoyer (Properties [2000], 6.4)
     A reaction: If powers are more fundamental than properties, with the latter often being complexes of the underlying powers, then yes they do. But powers don't. Presumably whatever is fundamental shouldn't have parts. Why?
If a property such as self-identity can only be in one thing, it can't be a universal [Swoyer]
     Full Idea: Some properties may not be universals, if they can only be exemplified by one thing, such as 'being identical with Socrates'.
     From: Chris Swoyer (Properties [2000])
     A reaction: I think it is absurd to think that self-identity is an intrinsic 'property', possessed by everything. That a=a is a convenience for logicians, meaning nothing in the world. And it is relational. The sharing of properties is indeed what needs explanation.
8. Modes of Existence / B. Properties / 5. Natural Properties
There are only first-order properties ('red'), and none of higher-order ('coloured') [Swoyer]
     Full Idea: 'Elementarism' is the view that there are first-order properties, but that there are no properties of any higher-order. There are first-order properties like various shades of red, but there is no higher-order property, like 'being a colour'.
     From: Chris Swoyer (Properties [2000], 7.1)
     A reaction: [He cites Bergmann 1968] Interesting. Presumably the programme is naturalistic (and hence congenial to me), and generalisations about properties are conceptual, while the properties themselves are natural.
8. Modes of Existence / B. Properties / 11. Properties as Sets
The best-known candidate for an identity condition for properties is necessary coextensiveness [Swoyer]
     Full Idea: The best-known candidate for an identity condition for properties is necessary coextensiveness.
     From: Chris Swoyer (Properties [2000], 6)
     A reaction: The necessity (in all possible worlds) covers renates and cordates. It is hard to see how one could assert the necessity without some deeper explanation. What makes us deny that actually coextensive renates and cordates have different properties?
8. Modes of Existence / D. Universals / 1. Universals
Various attempts are made to evade universals being wholly present in different places [Swoyer]
     Full Idea: The worry that a single thing could be wholly present in widely separated locations has led to trope theory, to the claim that properties are not located in their instances, or to the view that this treats universals as if they were individuals.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: I find it dispiriting to come to philosophy in the late twentieth century and have to inherit such a ridiculous view as that there are things that are 'wholly present' in many places.
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Conceptualism says words like 'honesty' refer to concepts, not to properties [Swoyer]
     Full Idea: Conceptualists urge that words like 'honesty', which might seem to refer to properties, really refer to concepts. A few contemporary philosophers have defended conceptualism, and recent empirical work bears on it, but the view is no longer common.
     From: Chris Swoyer (Properties [2000], 1.1)
     A reaction: ..and that's all Swoyer says about this very interesting view! He only cites Cocchiarella 1986 Ch.3. The view leaves a lot of work to be done in explaining how nature is, and how our concepts connect to it, and arise in response to it.
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
If properties are abstract objects, then their being abstract exemplifies being abstract [Swoyer]
     Full Idea: If properties are abstract objects, then the property of being abstract should itself exemplify the property of being abstract.
     From: Chris Swoyer (Properties [2000], 2.2)
     A reaction: Swoyer links this observation with Plato's views on self-predication, and his Third Man Argument (which I bet originated with Aristotle in the Academy!). Do we have a regress of objects, as well as a regress of properties?
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Our perceptual beliefs are about ordinary objects, not about simples arranged chair-wise [Hofweber]
     Full Idea: The belief that there are simples arranged chair-wise is not a perceptual belief. Our perceptual beliefs have a content about ordinary objects, not simples arranged chair-wise.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 07.3.1)
     A reaction: Hofweber gives ontological priority to 'perceptual beliefs'. I'm inclined to agree, but I hear the critical hordes swarming against the gate.
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals are essential for planning, and learning from mistakes [Hofweber]
     Full Idea: Counterfactuals are important for reasoning about the past and to plan for the future. If we want to learn from our mistakes, it is important to think about what would have happened if I had done things differently.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 13.4.1)
     A reaction: A thought also found in Tim Williamson, but not the sort of thing you hear from Lewis or Stalnaker. It is a nice example of how highly abstract and theoretical problems need to be slotted into human psychology.
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
One might hope to reduce possible worlds to properties [Swoyer]
     Full Idea: One might hope to reduce possible worlds to properties.
     From: Chris Swoyer (Properties [2000], 4.1)
     A reaction: [He cites Zalta 1983 4.2, and Forrest 1986] I think we are dealing with nothing more than imagined possibilities, which are inferred from our understanding of the underlying 'powers' of the actual world (expressed as 'properties').
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Extreme empiricists can hardly explain anything [Swoyer]
     Full Idea: Extreme empiricists wind up unable to explain much of anything.
     From: Chris Swoyer (Properties [2000], 2.3)
     A reaction: This seems to be the major problem for empiricism, but I am not sure why inference to the best explanation should not be part of a sensible empirical approach. Thinking laws are just 'descriptions of regularities' illustrates the difficulty.
18. Thought / C. Content / 8. Intension
Intensions are functions which map possible worlds to sets of things denoted by an expression [Swoyer]
     Full Idea: Intensions are functions that assign a set to the expression at each possible world, ..so the semantic value of 'red' is the function that maps each possible world to the set of things in that world that are red.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I am suddenly deeply alienated from this mathematical logicians' way of talking about what 'red' means! We need more psychology, not less. We call things red if we imagine them as looking red. Is imagination a taboo in analytical philosophy?
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
Research suggests that concepts rely on typical examples [Swoyer]
     Full Idea: Recent empirical work on concepts says that many concepts have graded membership, and stress the importance of phenomena like typicality, prototypes, and exemplars.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: [He cites Rorsch 1978 as the start of this] I say the mind is a database, exactly corresponding to tables, fields etc. Prototypes sound good as the way we identify a given category. Universals are the 'typical' examples labelling areas (e.g. goat).
19. Language / A. Nature of Meaning / 1. Meaning
The "Fido"-Fido theory of meaning says every expression in a language has a referent [Hofweber]
     Full Idea: The picture of language often called the "Fido"-Fido theory of meaning says every expression in natural languages refers; they simply differ in what they refer to.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 08.2)
     A reaction: It seems obvious that at least there are syncategorematic terms like 'not' and 'or' and 'maybe' that are internal to language. I'm inclining to the opposite view of Paul Pietroski. Hofweber says if all words are names, they can't add up to truth.
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
Inferential role semantics is an alternative to semantics that connects to the world [Hofweber]
     Full Idea: An inferential role semantics is generally seen as a large-scale alternative to a semantics based on reference and other language-world relations.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 03.4.5)
     A reaction: Presumably the other obvious language-world relation is truth. Being a robust realist, I take it I have to be strongly committed to semantics which connects to the world - or do I? Reality is robust, but our talk about it is evasive?
19. Language / C. Assigning Meanings / 1. Syntax
Syntactic form concerns the focus of the sentence, as well as the truth-conditions [Hofweber]
     Full Idea: Syntactic form is not only related to the truth conditions of a sentence; it is also related to what focus an utterance of a sentence will have.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 02.5.2)
     A reaction: Hofweber has commendably studied some linguistics. The idea of mental and linguistic 'focus' increasingly strikes me as of importance in many areas of philosophy. E.g. in the scope of ethics, on whom should you focus?
19. Language / C. Assigning Meanings / 3. Predicates
The F and G of logic cover a huge range of natural language combinations [Swoyer]
     Full Idea: All sorts of combinations of copulas ('is') with verbs, adverbs, adjectives, determiners, common nouns, noun phrases and prepositional phrases go over into the familiar Fs and Gs of standard logical notation.
     From: Chris Swoyer (Properties [2000], 1.2)
     A reaction: This is a nice warning of how misleading logic can be when trying to understand how we think about reality. Montague semantics is an attempt to tackle the problem. Numbers as adjectives are a clear symptom of the difficulties.
Properties can be expressed in a language despite the absence of a single word for them [Hofweber]
     Full Idea: Simply because there is no single word in a certain language for a certain property doesn't mean that it isn't expressible in that language.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 09.1.1)
     A reaction: Good. For example a shade of blue for which there is no label might be 'the next darkest discriminable shade of blue adjacent to the one we are looking at'. And then the one after that... But 'tastes better than Diet Pepsi' in ancient Greek?
'Being taller than this' is a predicate which can express many different properties [Hofweber]
     Full Idea: It is said that not every property can be expressed because there are more properties than there are predicates. ...But the same predicate can be used to express many different properties: 'being taller than this' depends on what 'this' refers to.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 09.2)
     A reaction: A good example, but being a comparative and relying on a demonstrative indexical makes it a favourable example. 'Being made of iron' doesn't have much scope for expressing many properties.
19. Language / C. Assigning Meanings / 4. Compositionality
Compositonality is a way to build up the truth-conditions of a sentence [Hofweber]
     Full Idea: Compositional semantics assigns semantic values to various expressions in order to generate the truth conditions of the sentences in which they can occur correctly, ...thus leading to the truth-conditions of the sentence.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 08.3)
     A reaction: I favour both the compositional and the truth-conditional accounts of semantics, but I am not sure how to fit the pragmatic and contextual ingredient into that picture. You can't leave out psychology.
19. Language / D. Propositions / 1. Propositions
Proposition have no content, because they are content [Hofweber]
     Full Idea: If there propositions then they do not have content, because they are content.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 08.4)
     A reaction: This sounds right. A rather obvious regress threatens if you say otherwise.
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Maybe a proposition is just a property with all its places filled [Swoyer]
     Full Idea: Some say we can think of a proposition as a limiting case of a property, as when the two-place property '___ loves ___' can become the zero-placed property, or proposition 'that Sam loves Darla'.
     From: Chris Swoyer (Properties [2000], 7.6)
     A reaction: If you had a prior commitment to the idea that reality largely consists of bundles of properties, I suppose you might find this tempting.
Without propositions there can be no beliefs or desires [Hofweber]
     Full Idea: If there are no propositions, then there are no contents, and thus there are no beliefs and desires.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 01.4.3)
     A reaction: A simple but powerful point. Those who claim that there are only sentences (and no propositions) can hardly claim that you must formulate a sentence every time you have a specific belief or desire.
19. Language / D. Propositions / 3. Concrete Propositions
Do there exist thoughts which we are incapable of thinking? [Hofweber]
     Full Idea: Might there be some thought token that has a different content than any such token we can in principle have?
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 10.3.3)
     A reaction: For me the idea that a thought might exist which can never be thought is an absurdity, but people who believe in the external existence of parts of reality called 'propositions' seem committed to it. A baffling view.
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
'Semantic type coercion' is selecting the reading of a word to make the best sense [Hofweber]
     Full Idea: 'Semantic type coercion' is where an expression of variable type is forced to take a particular type on a particular occasion so that the sentence as a whole in which it occurse is semantically interpretable.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 05.4.4)
     A reaction: He compares 'and' in 'John sang and Mary danced' with 'John and Mary danced together', where 'and' can vary in type, and we adopt the reading that makes sense. Hofweber says we do this with number language. He favours 'cognitive need'.
19. Language / F. Communication / 5. Pragmatics / b. Implicature
'Background deletion' is appropriately omitting background from an answer [Hofweber]
     Full Idea: 'Background deletion' is the pheomenon that what isn't focused in an answer, what is the background, can be left out of the answer, with the resulting sub-sentential answer nonetheless being appropriate.
     From: Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 02.6.2)
     A reaction: [I'm struck by the verbosity of this sentence, from an over-long book] It is not unreasonable to think that each conversational exchange has an implicit and agreed domain of quantification. Well, 'focus', then.
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
If laws are mere regularities, they give no grounds for future prediction [Swoyer]
     Full Idea: If laws were mere regularities, then the fact that observed Fs have been Gs would give us no reason to conclude that those Fs we haven't encountered will also be Gs.
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: I take this simple point to be very powerful. No amount of regularity gives grounds for asserting future patterns - one only has Humean habits. Causal mechanisms are what we are after.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Two properties can have one power, and one property can have two powers [Swoyer]
     Full Idea: If properties are identical when they confer the same capacities on their instances, different properties seem able to bestow the same powers (e.g. force), and one property can bestow different powers (attraction or repulsion).
     From: Chris Swoyer (Properties [2000], 4.2)
     A reaction: Interesting, but possibly a misunderstanding. Powers are basic, and properties are combinations of powers. A 'force' isn't a basic power, it is a consequence of various properties. Relational behaviours are also not basic powers, which are the source.